%0 Journal Article
%J Phys. Lett. B 691 (2010) 111-115
%D 2010
%T Hitchin systems, N=2 gauge theories and W-gravity
%A Giulio Bonelli
%A Alessandro Tanzini
%X We propose some arguments supporting an M-theory derivation of the duality recently discovered by Alday, Gaiotto and Tachikawa between two-dimensional conformal field theories and N=2 superconformal gauge theories in four dimensions. We find that A_{N-1} Toda field theory is the simplest two-dimensional conformal field theory quantizing the moduli of N M5-branes wrapped on a Riemann surface. This leads us to identify chiral operators of the N=2 gauge theories with W-algebra currents. As a check of this correspondence we study some relevant OPE\\\'s obtaining that Nekrasov\\\'s partition function satisfies W-geometry constraints.
%B Phys. Lett. B 691 (2010) 111-115
%G en_US
%U http://hdl.handle.net/1963/3831
%1 496
%2 Physics
%3 Elementary Particle Theory
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-01-26T15:40:23Z\\nNo. of bitstreams: 1\\n0909.4031.pdf: 120604 bytes, checksum: 7f2242b71035ba7cad650ea81a13d801 (MD5)
%R 10.1016/j.physletb.2010.06.027